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Questions and Answers
What is the cross-sectional area of a solid of revolution?
What is the cross-sectional area of a solid of revolution?
- A curve
- A function of x
- A function of y
- Both B and C (correct)
What is the method used to determine the cross-sectional area of a solid of revolution?
What is the method used to determine the cross-sectional area of a solid of revolution?
- The method of disks
- The method of rings (correct)
- The method of curves
- The method of axes
If we rotate about a horizontal axis, what is the cross-sectional area a function of?
If we rotate about a horizontal axis, what is the cross-sectional area a function of?
- x (correct)
- y
- Both x and y
- Neither x nor y
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Study Notes
- A solid of revolution is a curve that has been rotated about a given axis.
- The cross-sectional area of a solid of revolution is a function of the axis of rotation.
- If we rotate about a horizontal axis, the cross-sectional area is a function of (x).
- If we rotate about a vertical axis, the cross-sectional area is a function of (y).
- The method of disks or the method of rings can be used to determine the cross-sectional area of a solid of revolution.
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